Finite Group DatabasebetaFinite Group DatabasebetaOrder 1408.
474 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 99 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. C22×#4324 | C2 | semidirect |
| 3. C2×#66896 | C2 | semidirect |
| 4. #10622542 | C2 | semidirect |
| 5. #10622162 | C2 | semidirect |
| 35. C2×Dic22 | D4 | semidirect |
| 41. C2×C11⋊C8 | D4 | semidirect |
| 56. C2×C4×C11 | SD16 | semidirect |
| 131. C11 | #2014 | semidirect |
| 152. C2×C4 | #4324 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C11×#127 | 2 |
| C22×#4324 | 2 |
| C2×#66896 | 2 |
| #10622542 | 2 |
| #10622162 | 2 |
| #2014 | 11 |